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Finding the Third Proportional to 547,316 and 1,176,136

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Solution

The third proportional to 547,316 and 1,176,136 is: 2,527,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,316 : 1,176,136 = 1,176,136 : x
  2. Step 2: Convert to fraction form
    547,316/1,176,136 = 1,176,136/x
  3. Step 3: Cross multiply
    547,316x = 1,176,136 × 1,176,136
  4. Step 4: Simplify right side
    547,316x = 1,383,295,890,496
  5. Step 5: Solve for x
    x = 1,383,295,890,496/547,316
  6. Step 6: Final answer
    x = 2,527,417.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.